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Finding the Fourth Proportional to 11,762.64, 16,232.38 and 6,385.19

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Solution

The fourth proportional to 11,762.64, 16,232.38 and 6,385.19 is: 8,811.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.64 : 16,232.38 = 6,385.19 : x
  2. Step 2: Convert to fraction form
    11,762.64/16,232.38 = 6,385.19/x
  3. Step 3: Cross multiply
    11,762.64x = 16,232.38 × 6,385.19
  4. Step 4: Simplify right side
    11,762.64x = 103,646,733.33
  5. Step 5: Solve for x
    x = 103,646,733.33/11,762.64
  6. Step 6: Final answer
    x = 8,811.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.